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Finding the Third Proportional to 10,525.64 and 22,510.13

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Solution

The third proportional to 10,525.64 and 22,510.13 is: 48,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.64 : 22,510.13 = 22,510.13 : x
  2. Step 2: Convert to fraction form
    10,525.64/22,510.13 = 22,510.13/x
  3. Step 3: Cross multiply
    10,525.64x = 22,510.13 × 22,510.13
  4. Step 4: Simplify right side
    10,525.64x = 506,705,727.52
  5. Step 5: Solve for x
    x = 506,705,727.52/10,525.64
  6. Step 6: Final answer
    x = 48,140.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.